Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry]
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Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry], 2015, Volume 11, Number 2, Pages 174–186
DOI: https://doi.org/10.15407/mag11.02.174 (Mi jmag615) 		 
This article is cited in 6 scientific papers (total in 6 papers)

On Model Representations of Non-Selfadjoint Operators with Infinitely Dimensional Imaginary Component

R. Hatamleha, V. A. Zolotarevb

a Dept. of Mathematics, Jadara University, Irbid-Jordan, Jordan
b B. Verkin Institute for Low Temperature Physics and Engineering, National Academy of Sciences of Ukraine, 47 Lenin Ave., Kharkiv 61103, Ukraine
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DOI: https://doi.org/10.15407/mag11.02.174
Abstract: For an entirely non-selfadjoint operator with spectrum at zero, the imaginary component of which has an absolutely continuous spectrum (not necessarily dissipative and having lacunas in the spectrum), triangular and functional models are constructed.
Key words and phrases: triangular model, simple spectrum, colligation, functional model.
Received: 09.09.2013
Revised: 26.12.2014
Bibliographic databases:
Document Type: Article
MSC: 47A45
Language: English
Citation: R. Hatamleh, V. A. Zolotarev, “On Model Representations of Non-Selfadjoint Operators with Infinitely Dimensional Imaginary Component”, Zh. Mat. Fiz. Anal. Geom., 11:2 (2015), 174–186
Citation in format AMSBIB
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\by R.~Hatamleh, V.~A.~Zolotarev
\paper On Model Representations of Non-Selfadjoint Operators with Infinitely Dimensional Imaginary Component
\jour Zh. Mat. Fiz. Anal. Geom.
\yr 2015
\vol 11
\issue 2
\pages 174--186
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\crossref{https://doi.org/10.15407/mag11.02.174}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3442844}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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